997575000541 has 16 divisors (see below), whose sum is σ = 1141074200448. Its totient is φ = 854323200000.

The previous prime is 997575000497. The next prime is 997575000623. The reversal of 997575000541 is 145000575799.

It is a 8-Lehmer number, since φ(997575000541) divides (997575000541-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 997575000541 - 2⁹ = 997575000029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997575006541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62336541 + ... + 62352541.

It is an arithmetic number, because the mean of its divisors is an integer number (71317137528).

Almost surely, 2^997575000541 is an apocalyptic number.

It is an amenable number.

997575000541 is a deficient number, since it is larger than the sum of its proper divisors (143499199907).

997575000541 is a wasteful number, since it uses less digits than its factorization.

997575000541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23172.

The product of its (nonzero) digits is 1984500, while the sum is 52.

The spelling of 997575000541 in words is "nine hundred ninety-seven billion, five hundred seventy-five million, five hundred forty-one", and thus it is an aban number.